13 citations · 49 across the 7 of their papers we have counts for
7 papers
Global well-posedness and long-time behavior of the fractional NLS
Mouhamadou Sy, Xueying Yu
In this paper, our discussion mainly focuses on equations with energy supercritical nonlinearities. We establish probabilistic global well-posedness (GWP) results for the cubic Sch…
Global well-posedness for the cubic fractional NLS on the unit disk
Mouhamadou Sy, Xueying Yu
In this paper, we prove that the cubic nonlinear Schrödinger equation with the fractional Laplacian on the unit disk is globally well-posed for certain radial initial data below th…
Almost sure global well-posedness for the energy supercritical NLS on the unit ball of
Mouhamadou Sy, Xueying Yu
In this paper, we present two almost sure global well-posedness (GWP) results for the energy supercritical nonlinear Schrödinger equations (NLS) on the unit ball of usin…
Invariant measures and global well posedness for SQG equation
Juraj Foldes, Mouhamadou Sy
We construct an invariant measure for the Surface Quasi-Geostrophic (SQG) equation and show that almost all functions in the support of are initial conditions of global, un…
Almost sure global well-posedness for the energy supercritical Schrödinger equations
Mouhamadou Sy
We consider the Schrödinger equations with arbitrary (large) power non-linearity on the three-dimensional torus. We construct non-trivial probability measures supported on Sobolev…
Invariant measure and large time dynamics of the cubic Klein-Gordon equation in
Mouhamadou Sy
In this paper we construct an invariant probability measure concentrated on for a general cubic Klein-Gordon equation (including the case of the wave equation…
Invariant measure and long time behavior of regular solutions of the Benjamin-Ono equation
Mouhamadou Sy
The Benjamin-Ono equation describes the propagation of internal waves in a stratified fluid. In the present work, we study large time dynamics of its regular solutions via some pro…